[w/(w^2+8w+16)] + [4/(w^2+12w+32)]
=[w/(w^2+4w+4w+16)] + [4/(w^2+8w+4w+32)]
=[w/(w(w+4)+4(w+4))] + [4/(w(w+8)+4(w+8))]
=[w/(w+4)(w+4)] + [4/(w+4)(w+8)]
LCM=(w+4)(w+4)(w+8)
=[ w(w+8)+4(w+4)]/[(w+4)(w+4)(w+8)]
=[ w^2+8w+4w+16]/[(w+4)(w+4)(w+8)]
=[ (w+4)(w+8)]/[(w+4)(w+4)(w+8)]
=1/(w+4)